Subtract the rational expression

Please show the steps to the answer

Subtract The Rational Expression Please Show The Steps To The Answer

Answers

Answer 1

Answer:

[tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]

1. Find common denominator (LCD)(x + 3)(2x - 1) =  [tex]2x^2 + 5x - 4[/tex]

2. Multiply bottom to get LCD, then multiply top to matchFirst term: [tex]\frac{x}{x+3} (\frac{2x -1}{2x-1} ) = \frac{2x^2-x}{2x^2+5x-4}[/tex]Second term: [tex]\frac{x+4}{2x-1} (\frac{x+3}{x+3} )=\frac{x^2+7x+12}{2x^2+5x-4}[/tex]Ending expression: [tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex]

3. Rewrite terms in a single fraction[tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex]  -----> [tex]\frac{(2x^2-x)-(x^2+7x+12)}{2x^2+5x-4}[/tex]

4. Subtract, then combine like termsFinal answer: [tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]


Related Questions

Pablo surveyed his class to find out how many movies each student watched last year. He recorded the results in the dot plot below.



Use the dot plot to complete the sentences.

There were 10 students who watched
movies.

There were more students who watched 5 to 7 movies than students who watched
movies.

Exactly half the class watched
movies.

Answers

Answer:

D

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Brainly is probably one of the best websites too ask for help 10-10 Would recommend

Answers

Hello!

Let's simplify this expression!

we have

7²+3(√16-4)

7²=49:

49+3(4-4)

49+3(0)

49+0

49

[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{49}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearningWithJoy :-)

Answer:

[tex]\boxed{\sf{49}}[/tex]

Step-by-step explanation:

In order to solve this problem, you must use an order of operations to determine the value of expressions.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

Solve with exponents first.

7²+3(√16-4)

7²=7*7=49

3(√16-4)=0

Then, add.

49+0=49

49

Therefore, the correct answer is 49.

I hope this helps you! Let me know if my answer is wrong or not.

After 5 years, $40,000 deposited in a savings account with simple interest had earned $26,000 in interest. What was the interest rate?

Answers

Answer: D'après mes calculs ça devrait être 13% d'intérêt

Step-by-step explanation: Je n'ai pas calculé les intérêts depuis un moment, donc je peux me tromper. Si j'ai raison, envisagez de me donner le plus intelligent.

Bonne journée! :)

Irene wants to use equivalent ratios to solve 3,712÷64, but she can't remember how. Show Irene what to do.

Answers

Answer:3,712÷64=58

Step-by-step explanation:

Answer: The ratio is 58:1, and the division is = 58. Scroll for solving, check, and notes.

Explanation:

What we know:

The question wants us to use equivalent ratiosThe numbers 3,712 and 64 have common denominatorsAn equivalent ratio is a ratio that is something of a simplified form of large numbers, written in a fraction, with a colon, or with the word 'to'

How to solve:

    We need to find the equivalent ratio of 3,712 and 64, and then solve the question based on that.

Process:

Finding equivalent ratios

Set up equation                                                     3712/64

Rewrite into colon-ratio form                                3712:64

Divide by common denominator                         /64  /64*

                                                                               

Solution:                                                                     =58:1

*Read bottom of notes to find out how I found this denominator

Answer: The ratio is 58:1; the solution to the division is 58.

Notes:

There is no way to always know the ratio's common denominator. However, there are some general rules of thumb that may help:

-All numbers have a common denominator of 1. Sometimes, that's the most simplified form.

-All even numbers (Those that end in {0, 2, 4, 6, or 8}) have a common denominator of 2

-All numbers whose digits add up to {3, 6, or 9} (such as 12: 1+2 = 3) have a common denominator of 3.

-These three numbers serve as basic building blocks. You can keep simplifying with them until you get to a prime number. Let's use our problem as an example:

3712 and 64 - both are even, simplify by 2

1856 and 32 - both are even, simplify by 2

928 and 16   - both are even, simplify by 2

464 and 8    - both are even, simplify by 2

232 and 4    - both are even, simplify by 2

116 and 2      - both are even, simplify by 2

58 and 1       - there is a prime number, so this is the simplest form.

Now we take all of our simplifications: 2^6. 2^6 = 64, so the common denominator is 64.

Check:

Our ratio, 58:1, is the simplified form of 3,712 div. 64. This is seen better by rewriting both into a fraction-ratio form:

58:1                    3712 div. 64

58/1                    3712/64

Luckily, our ratio has a 1 in it. This means that when we multiply the ratio by 64 (what the 1 represents), it should yield the original equation.

3712/64 = 58/1

3712/64 = (58/1)*64

3712/64 = 3712/64

Therefore, 58:1 is the correct ratio.

A small container is shaped like this hexagonal prism. The prism has a base area of 7.85 cm².

What is the volume of the container?

Enter your answer as a decimal in the box.

cm³

Answers

Answer:

31.4

Step-by-step explanation:

I reaally hope this helps you

31.4 have a great day :)

One-step inequalities
5 star equations for correct answers
byeee :3

Answers

X is greater than or equal to negative 42

















Hi!

[tex]\\ \sf\longrightarrow \dfrac{x}{7}\geqslant -6[/tex]

[tex]\\ \sf\longrightarrow x\geqslant -6(7)[/tex]

[tex]\\ \sf\longrightarrow x\geqslant -42[/tex]

Solution set in interval notation

[tex]\\ \sf\longrightarrow x\in[-42,\infty)[/tex]

PLEASE HELP AND HURRY Mustang middle school is getting a new frozen yogurt machine. to decide which flavors to serve, the cafeteria manager surveyed students at random. Which inference is best supported by the data collected in the survey?
A. The number of students who prefer chocolate is about the same as the combined number of those who prefer strawberry and those who prefer cookies and cream
B. Cookies and Cream is the least popular flavor
C. The number of students who prefer vanilla is lower than the number of students who prefer either chocolate or strawberry
D. The number of students who prefer strawberry is half the number of students who prefer Cookies and Cream

Answers

Answer:

So let us simplify that we have 30 x 100 divided by 40 by 100. So that will just be 30 by 40 which is equal to three x 4 and three x 4 is equal to 0.75, which also means 75%. So the probability that a student like chocolate ice cream, given that they like strawberry ice cream, movies 75%.

Step-by-step explanation:

Answer is A. The number of students who prefer chocolate is about the same as the combined number of students who prefer strawberry or cookies and cream?

A flowerpot has a circular base with a diameter of 23 centimeters. Find the circumference of the base of the flowerpot. Round to the nearest tenth.

72.2 cm

144.4 cm

1661.1 cm

529 cm

Answers

Answer:

A

Step-by-step explanation:

The flowerpot has a diameter of 23 centimeters.

We have to find the circumference of the pot.

The formula for circumference is:

C = [tex]\pi[/tex]d

C = (3.14)(23)

C = 72.22

The problem says to round to the nearest tenth.

72.22 ≈ 72.2

(ngl i've done many of these problems and they're kinda fun for me now)

either way, hope this helps :)

Hey hun! I hope you’re having an amazing day! The answer for this would be A!

please help as soon as possible.

Answers

Answer:

Question 3

In 15 minutes, the tortoise walked 400 meters

1 hour ---> 60 minutes

60 minutes is 4 x 15 minutes

4 x 15 // 400 x 4

1 hour // 1600 meters = 1.6 kilometers

the tortoise can walk 1.6 Kilometers per hour

Question 4

2 quart bottle for 2.56$

1 quart = 32 fluid ounces

2 quart = 64 fluid ounces

2.56/64 = 0.04$ per fluid ounce

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.

In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.

Answers

Answer:

Surface Area = 2lw + 2lh + 2hw  =  2(lw+lh + hw) = 2(12x8 + 12x4 + 4x8)  = 2(96+48+32) = 2(176) = 352 square inches

Step-by-step explanation:

The surface area of the is mathematically given as

A= 1048in^2

What is the Surface Area?

Question Parameter(s):

Generally, the equation for the Surface area   is mathematically given as

A = 2(lw + wh +lh)

Therefore

A = 2(20(8) + 8(13) +20(13))

A = 2(160+104+260)

A= 1048in^2

In conclusion, the Surface area is

A= 1048in^2

Read more about Measurement

https://brainly.com/question/17972372

show work on how to do the question

Answers

Answer:

8.4

Step-by-step explanation:

subtract 18-9.6 to get the answer of 8.4

Parallel lines j and k are cut by a transversal l. Which pair of angles are corresponding angles?

A. 3 and 1
B. 3 and 4
C. 3 and 7
D. 3 and 8

Answers

3 and 1 are your corresponding angles. So A.
A. 3 and 1
Hope this helps

Kevin and Tiana are making soup. The recipe calls for a pound of onions. They have one onion that weighs ½ pound and another that weighs ⅖ pound. Kevin says they only have 3/7 pound of onions, so they definitely don’t have enough. Why is Kevin wrong?
PLSSSS HELP!

Answers

Kevin is wrong because adding fractions, you don’t add the numerator and the denominator on each one like you do when you are multiplying them, instead you have to find a common denominator, which is the lowest number that is a multiple of all of your denominators so in this case tej common denominator would be 10, so on the 2/5 fraction times the top and bottom by 2 so you get 4/10 and on the 1/2 fraction times the top and bottom by 5 to get 5/10 then you can add 4/10 and 5/10 to get 9/10 which cannot be simplified so Kevin and Tiana have 9/10 of a pound on onions

Ken, Leon, and Mark collect seashells as a hobby. Ken has (3x - 5) seashells, Leon has (2x + 1) seashells, and Mark has (0.25x + 7) seashells. a. Write an expression for the total number of seashells they collected. b. If the total number of seashells they collected is 45, determine the number of seashells each of them have.

Answers

Answer:

Ken, Leon, and Mark collect seashells as a hobby. Ken has (3x - 5) seashells, Leon has (2x +1) seashells, and Mark has (0.25x + 7) seashells. a. Write an expression for the total number of seashells they collected.

The answer:

Ken has 5 shells, Leon has 2 shells, Mark has 1.50 shells

how do we know:

because the 5 is negative we have -5 + -5=0 because negatives only go up by subtracting so 0+-5 is 5.

because the 1 is positive we can do 1+1 as were doing 2x1 so 1+1=2.

because we are doing 0.25x7 we need to know that we can flip the problem so we get 7x0.25. this makes things easy for you and me, we already know that 4 0.25's make 1 and we also know that 0.25+0.25 is 0.50 and 1 + 0.50 is 1.50 or just 1.5

hope this helps!

Hector is using wood to build a dog house. Each wall is 4/7 of a yard tall and 3/5 of a yard wide. Know that the area of each wall is the base times the height, how many square yards of wood will he need to build 4 walls of equal size?

a
1 2/3
b
1 13/35
c
12/35
d
1 4/12

Q2
Which of the following is equivalent to 4/10 x 3/8?

a
4 ÷ (10 x 3) ÷ 8
b
(4 + 3) x (10 + 8)
c
(4 x 3) ÷ (10 x 8)
d
(4 - 3) ÷ (10 - 8)

Answers

Answer:

a

Step-by-step explanation:

b

A clock is dropped and stops working. What is the probability that the second hand is stopped between the 12 and 1? Show how you solved the problem.

Answers

Answer:

The distance between any 2 consecutive numbers on a clock is 1/12 of the circumference

Brett create a function of X with seven points each in a different location on the grid he graph sixth of the points as shown use the add point tool to show the location of a point that could be the seventh point of Brett function

Answers

Answer:

any point where x=3, 4, or 6.

Step-by-step explanation:

The thing that makes a function a function and not a relation is having only 1 y value per x value, which means if you draw a vertical line through a point, it should not intercept any other points. Basically, the main difference between a function and a relation is that a function can't have 2 points on top of each other.

Pick a point where x=3, 4, or 6. Those are the open spots on the grid with nothing above or below them. It doesn't matter which point you pick, as long as there is NOTHING directly above or below that point.

I hope you understood this solution. Happy mathing!

The solution is, any point where x=3, 4, or 6, is the location of a point that could be the seventh point of Brett function.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The thing that makes a function a function and not a relation is having only 1 y value per x value, which means if you draw a vertical line through a point, it should not intercept any other points.

Basically, the main difference between a function and a relation is that a function can't have 2 points on top of each other.

so, we have,

Pick a point where x=3, 4, or 6.

Those are the open spots on the grid with nothing above or below them. It doesn't matter which point you pick, as long as there is NOTHING directly above or below that point.

Hence, The solution is, any point where x=3, 4, or 6, is the location of a point that could be the seventh point of Brett function.

To learn more on function click:

brainly.com/question/21145944

#SPJ2

Linda is deciding how many trees to plant.
Here are her estima

Answers

Answer:

With each additional tree, the estimated time Increases by 10 minutes.

Answer:

10 minutes

Step-by-step explanation:

Give me Brainltest

(20 POINTS PLS HELP!!)

Answers

Answer:

c

Step-by-step explanation:

there is an endpoint at A and the line continues on after g

Answer:

C)

Step-by-step explanation:

If the number line goes from one side to another, it is going from left to right (AKA, AG), and the number line already has an arrow going to the right, but none going to the left, so the arrow on top, has to also be facing the right.

hope this helps!

Select all the events that are possible, but unlikely.
•opening a 300 oage book to exactly page 143.
• a second grade classroom contains some books.
•you will roll a 7 on a standard 6 sided number cube.
•everyone in your school will get to school on time on the next school day.
•a triange has 3 sides.​

Answers

Answer:

opening a 300 page book to exactly page 143.

everyone in your school will get to school on time on the next school day.

Step-by-step explanation:

"Opening a 300 page book to exactly page 143" and "everyone in school will get to school on time next day" are the possible but unlikely events.

Unlikely event:

If something which probably will not happen and actually happens.

Certain event:

A certain event is an event that is sure to happen. E is a certain event if and only if P(E) = 1.

According to the given question

Opening a 300 page book to exactly page 143 is a random event and very unlikely to happen.A second grade classroom contains some books it is an event with high probability.Getting a 7 on a standard 6 sided number cube , it is an impossible event.Everyone in school will get to school on time on the next day is also a random event and very unlikely to happen.A triangle has 3 sides , it is a certain event.

Hence, first and fourth are possible but unlikely events.

Learn more about unlikely events:

https://brainly.com/question/23050068

#SPJ2

NEED HELP FAST!!!! NEED ANSWER IN 6 MIN!!!!!!!!!!!!!!

Answers

Answer:

28

Step-by-step explanation:

First find the area of the small rectangle, 16 then subtract that from the big rectangle, 44.

Answer:

28 sq. units

Step-by-step explanation:

Area (shaded) = Area (big rectangle) - Area (small rectangle)Area = 4 x 11 - 2 x 8Area = 44 - 16Area = 28 sq. units

math question on the sceen shot

Answers

Answer:

(8,9) it is corrrect I am sure of it because

if you put the dotson a grid they will

create a rectangle so that wht that answer is corr

PLEASE HELP ME DUE IN 1 MIN WILL GIVE BRAINLIEST, 100 POINTS, AND 5 STARS IF RIGHT!!!!!

Answers

Answer: 2/15 feet^2
WORK SHOWN BELOW!!

Help please!! What can you tell about the mean of each distribution?

Answers

Answer:

I think it's c I have looked it through and now I think it's c

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 inches. The length of the frame is 20.3 inches.

Write an equation to find the width of the frame, x.

Enter the correct equation in the box.

What is the equation

Answers

Answer

x=15.8

Step-by-step explanation:

20.3*2=40.6

72.2-40.6=31.6

31.6/2=15.8

(15.8*2)+(20.3*2)=72.2

20.3*2+x*2=72.2

x=15.8

Hope this helps.

What is 6 5/7 rounded around the nearest whole number

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5/7 is 0.714....

7 is greater that 5 so u round up to 7

The stem-and-leaf plot lists the number of different ingredients found in different industrial cleaners. How many cleaners had more than 80 ingredients? Enter the answer in the box. cleaners


If your answer is incorrect then you do not get brainly

Answers

Answer:

Step-by-step explanation:

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

Since the key says 4|0= 40 the answer to your question is 12. Twelve cleaners have more than 80 ingredients.

Answer: 12.

Step-by-step explanation: According to the key, 4|0 means 40, which applies to any other stem and leaf on the chart.  For example, on the chart, any numbers to the other side of the 8 are more than 0 which can be 8|2 or 8|5, so those count.  9|0 or 90, is way bigger than 80, so any numbers next to 90 count as well.  I circled all the numbers that are correct, which is 12.

Let me know if this is right! :)

Estimate the difference 7 3/4-2/25 Show your work.

Answers

Answer: 7 3/4 - 2/25 = 767/100  = 7  67/100 = 7.67

Step-by-step explanation:

Conversion a mixed number 7 3/4

to a improper fraction: 7 3/4 = 7 3/4  = 7 · 4 + 3/4= 28 + 3/4 = 31/4

To find a new numerator:

a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/

100 = 767/100

The answer would be that 100 = 767/100 because you subtract the numbers at the end

Know he answer for this???

Answers

solution = 4 ?

6 * 4 - 3 = 24 - 3 = 21 not 45 so 4 is not the solution

the solution = 8

6 * 8 - 3 = 48 - 8 = 45

Answer:

8

Step-by-step explanation:

Let us first sole the equation for x.

6x - 3 = 45

-> 6x = 45 + 3

-> 6x = 48

-> x = 48/6

-> x = 8

Thus 8 from the set {4, 5, 6, 7, 8} makes the equation 6x - 3 = 45 true.

Please answer the question down below

Answers

Since the angles x & 62 are complimentary, their sum adds up to 90°

[tex]x + 62 = 90[/tex]

[tex]x = 90 - 62[/tex]

[tex]x = 28[/tex]

Answer:

28

Step-by-step explanation:

angle AOC is a right angle that equals 90 degreeds

90-62=28

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